Suppose that the root-mean-square velocity vms of water molecules (molecular mass is equal to 18.0 g/mol) in a flame is found to be 1350 m/s. What temperature T does this represent? The Boltzmann constant is k = 1.38 × 10-23 J/K and Avogadro's number is NA = 6.022 × 1023 mol-'.
Kinetic Theory of Gas
The Kinetic Theory of gases is a classical model of gases, according to which gases are composed of molecules/particles that are in random motion. While undergoing this random motion, kinetic energy in molecules can assume random velocity across all directions. It also says that the constituent particles/molecules undergo elastic collision, which means that the total kinetic energy remains constant before and after the collision. The average kinetic energy of the particles also determines the pressure of the gas.
P-V Diagram
A P-V diagram is a very important tool of the branch of physics known as thermodynamics, which is used to analyze the working and hence the efficiency of thermodynamic engines. As the name suggests, it is used to measure the changes in pressure (P) and volume (V) corresponding to the thermodynamic system under study. The P-V diagram is used as an indicator diagram to control the given thermodynamic system.
Vrms is the root-mean-square velocity of the molecules. All that needs to be done here is to write the formula for vrms and plugin the respective values then solve for T.
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